Answer:
y = 8x + 25
Step-by-step explanation:
Using the coordinates (10, 105) and (20, 185)
The standard linear equation is expressed as y = mx+c
m is the slope
c is the intercept
m = 185 - 105/20-10
m = 80/10
m = 8
Get the y-intercept
Since y = mx+c
105 = 8(10) + c
105 = 80 + c
c = 105 - 80
c = 25
Get the required equation
Recall that y = mx+c
y = 8x + 25
Hence the required equation is y = 8x + 25
Answer:
First option:
Second option:
Fourth option:
Step-by-step explanation:
Rewrite each equation in the form and then use the Discriminant formula for each equation. This is:
1) For :
Then:
Since this equation has no real solutions, but has two complex solutions.
2) For :
Then:
Since this equation has no real solutions, but has two complex solutions.
3) For :
Then:
Since this equation has one real solution.
4) For :
Then:
Since , this equation has no real solutions, but has two complex solutions.
Answer:
4.8 inches
Step-by-step explanation:
Given: The largest frog in the world is goliath which is 12 inches long.
The smallest frog is about 2.5 as long as the goliath.
Lets assume the length of smallest frog be "x".
As given, smallest frog is about 2.5 as long as the goliath.
∴ we can form equation as
Solving the equation to find the value of x
Dividing both side by 2.5
⇒
∴
Hence, the length of smallest frog is 4.8 inches.